Central limit theorems for the zeros of Lamé polynomials

DOI10.1016/j.jmaa.2008.03.046zbMath1147.33001OpenAlexW2034639669MaRDI QIDQ929584

Alain Bourget

Publication date: 17 June 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.03.046

zbMATH Keywords

central limit theoremsLamé polynomials

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other special orthogonal polynomials and functions (33C47)

Cites Work

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• A law of large numbers for the zeroes of Heine-Stieltjes polynomials
• Asymptotic properties of Heine--Stieltjes and Van Vleck polynomials.
• Harmonics on hyperspheres, separation of variables and the Bethe ansatz
• Expansions in products of Heine-Stieltjes polynomials
• Asymptotics of polynomial solutions of a class of generalized Lamé differential equations
• Pair correlation statistics for the zeros of Lamé polynomials
• Lamé differential equations and electrostatics
• Asymptotic statistics of zeroes for the Lamé ensemble.

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